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2 years ago

10

Sal has 3 of a sheet of poster board. Four friends are sharing the sheet equally. What fraction of the original sheet does each

friend get?

1 answer:

Galina-37 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

3 sheets are shared between four friends.

Each friends will get = 3 ÷ 4

= $\frac{3}{4}$

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In Dr. Mosley's waiting room, 4 magazines are scattered on the chairs. A patient named Tristan decides he probably has time to s

iragen [17]

Answer: Tristan can pick them out in 6 different ways

Step-by-step explanation: In the waiting room the four magazines all have an equal chance of being picked first and then others would be picked subsequently. If we are to pick magazine A first of all, then the others would be picked as B, C and D, or C, B and D, or D, B and C, and so on.

However, rather than spend so much time counting the different ways we can apply the mathematical method of permutation. Since choosing the first one means we can’t choose it again but others have to be chosen, and all four magazines each has an equal chance of being chosen first, then the number of all possible permutations is given as 4! (four factorial).

The question requires us to chose three out of the four magazines, so we shall apply 3!.

3! = 3 x 2 x 1

3! = 6

Therefore, there are 6 different ways to pick three out of the four magazines

6 0

2 years ago

Read 2 more answers

In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standa

ivolga24 [154]

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) $T_c = 2.4469$

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.4469, and the answer to question b is $T_c = 2.4469$

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

7 0

2 years ago

If (5,-12) is a point on the terminal side of an angle θ, find the value of sin⁡θ, cos⁡θ, and tan⁡θ.

Bezzdna [24]

Answer:

Given point (5,-12) falls into IV quadrant

<u>The right triangle with legs of 5 and -12, and hypotenuse is:</u>

√5² + (-12)² = √25+144 = √169 = 13

<u>Value of sin⁡θ, cos⁡θ, and tan⁡θ:</u>

sin⁡ θ = -12/13
cos ⁡θ = 5/13
tan⁡ θ = -12/5

5 0

2 years ago

F(t) 2t-3<br> F(7)=?<br> What does f(7) equal?

myrzilka [38]

Answer:

F(7) = 11

Step-by-step explanation:

F(7) = 2(7) -3

= 14 - 3

= 11

6 0

3 years ago

Read 2 more answers

What would be the best description of the John’s times rounded to quarter hours (15 minutes)

never [62]

Answer:

2. 8:45am to 5:15pm

Step-by-step explanation:

Looking at the table of John's times, he arrived at 8:42am and left at 5:14pm. If you are rounding to the nearest quarter hour, or 15 minutes, you time would need to be at the hour, 15 minutes after, 30 minutes after or 45 minutes after. Given those options, the closest times would be 8:45am and 5:15pm.

5 0

2 years ago